A271819 Primes of the form 159587584529 + 2*n^2.

159587584529, 159587584531, 159587584537, 159587584547, 159587584561, 159587584579, 159587584601, 159587584627, 159587584657, 159587584691, 159587584729, 159587584771, 159587585107, 159587585329, 159587585681, 159587585881, 159587586097, 159587586451, 159587586707, 159587586979

Offset

1,1

Comments

The first 12 primes correspond to the values of n from 0 to 11. The first term is a member of A271348.

Links

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Prime-generating Polynomial

Example

For n=0, we get 159587584529, which is a prime as determined in A271348.
For n=1, we get 159587584529 + 2*1^2 = 159587584531, which is a prime as determined in A271348.

Mathematica

Select[Table[159587584529+2*n^2, {n, 0, 100}], PrimeQ]

Prog

(PARI) for(n=0, 100, isprime(159587584529+2*n^2) && print1(159587584529+2*n^2, ", "))

Crossrefs

Cf. A000040 (primes), A271348 (contains the first term), A050265, A007641, A271366, A271818, A271820 (similar sequences whose first term is in A271348).

Sequence in context: A234379 A290157 A288283 * A304235 A233503 A241501

Adjacent sequences: A271816 A271817 A271818 * A271820 A271821 A271822

Keyword

nonn

Author

Waldemar Puszkarz, Apr 14 2016

Status

approved